Weyl-scaling exponent conjecture for the LQG metric

Let $D_\Phi$ be the $\gamma$-Liouville quantum gravity metric on a $\gamma$-LQG surface, and let $\zeta$ denote its Weyl scaling exponent. Weyl-scaling exponent conjecture. The exponent satisfies

$$\zeta=\frac{\gamma}{4}.$$

This is presented as an expected exact value for the Weyl scaling exponent of the LQG metric and remains open in the supplied text.